A class of quasi-Newton generalized Steffensen methods on Banach spaces
From MaRDI portal
Publication:1860502
DOI10.1016/S0377-0427(02)00484-3zbMath1016.65035OpenAlexW2017638976MaRDI QIDQ1860502
Sergio Amat, Sonia Busquier, Vicente F. Candela
Publication date: 23 February 2003
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00484-3
convergenceBanach spacesnonlinear operator equationsnumerical comparisongeneralized Steffensen methodsKantorovich conditions
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (28)
Optimizing the applicability of a theorem by F. Potra for Newton-like methods ⋮ On the convergence of Newton's method for a class of nonsmooth operators ⋮ A generalized Steffensen's method for matrix sign function ⋮ A two-step Steffensen's method under modified convergence conditions ⋮ A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations ⋮ Frozen divided difference scheme for solving systems of nonlinear equations ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ A study of optimization for Steffensen-type methods with frozen divided differences ⋮ A multidimensional generalization of some classes of free-derivative iterative methods to solve nonlinear equations ⋮ Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three ⋮ Ostrowski type methods for solving systems of nonlinear equations ⋮ Algorithm for forming derivative-free optimal methods ⋮ On a quadratically convergent method using divided differences of order one under the gamma condition ⋮ On the convergence of the secant method under the gamma condition ⋮ A Fréchet derivative-free cubically convergent method for set-valued maps ⋮ Increasing the applicability of Steffensen's method ⋮ Expanding the applicability of a third order Newton-type method free of bilinear operators ⋮ Convergence by nondiscrete mathematical induction of a two step secant's method ⋮ On the secant method ⋮ On the local convergence of a family of two-step iterative methods for solving nonlinear equations ⋮ A Steffensen's type method in Banach spaces with applications on boundary-value problems ⋮ Convergence and numerical analysis of a family of two-step Steffensen's methods ⋮ A cubically convergent Steffensen-like method for solving nonlinear equations ⋮ Improving order and efficiency: Composition with a modified Newton's method ⋮ On the secant method for solving nonsmooth equations ⋮ On a Steffensen's type method and its behavior for semismooth equations ⋮ On a nonsmooth version of Newton's method using locally Lipschitzian operators ⋮ A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space
Cites Work
This page was built for publication: A class of quasi-Newton generalized Steffensen methods on Banach spaces